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Finding the Fourth Proportional to 77,362.40, 115,846.65 and 50,987.18

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Solution

The fourth proportional to 77,362.40, 115,846.65 and 50,987.18 is: 76,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,362.40 : 115,846.65 = 50,987.18 : x
  2. Step 2: Convert to fraction form
    77,362.40/115,846.65 = 50,987.18/x
  3. Step 3: Cross multiply
    77,362.40x = 115,846.65 × 50,987.18
  4. Step 4: Simplify right side
    77,362.40x = 5,906,693,416.71
  5. Step 5: Solve for x
    x = 5,906,693,416.71/77,362.40
  6. Step 6: Final answer
    x = 76,350.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.